Pulse dynamics in an actively mode-locked laser

John B. Geddes, William J. Firth, Kelly Black

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We consider pulse formation dynamics in an actively mode-locked laser. We show that an amplitude-modulated laser is subject to large transient growth and we demonstrate that at threshold the transient growth is precisely the Petermann excess noise factor for a laser governed by a nonnormal operator. We also demonstrate an exact reduction from the governing PDEs to a low-dimensional system of ODEs for the parameters of an evolving pulse. A linearized version of these equations allows us to find analytical expressions for the transient growth below threshold. We also show that the nonlinear system collapses onto an appropriate fixed point, and thus in the absence of noise the ground-mode laser pulse is stable. We demonstrate numerically that, in the presence of a continuous noise source, however, the laser destabilizes and pulses are repeatedly created and annihilated.
LanguageEnglish
Pages647-671
Number of pages24
JournalSIAM Journal on Applied Dynamical Systems
Volume2
Issue number4
DOIs
Publication statusPublished - 2003

Fingerprint

Mode-locked Lasers
Laser modes
Laser pulses
Laser
Lasers
Demonstrate
Noise Factor
Excess
Nonlinear systems
Nonlinear Systems
Fixed point
Operator

Keywords

  • mode-locked laser
  • transient growth
  • excess noise
  • hermite polynomials
  • photonics
  • optics

Cite this

Geddes, John B. ; Firth, William J. ; Black, Kelly. / Pulse dynamics in an actively mode-locked laser. In: SIAM Journal on Applied Dynamical Systems. 2003 ; Vol. 2, No. 4. pp. 647-671.
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Pulse dynamics in an actively mode-locked laser. / Geddes, John B.; Firth, William J.; Black, Kelly.

In: SIAM Journal on Applied Dynamical Systems, Vol. 2, No. 4, 2003, p. 647-671.

Research output: Contribution to journalArticle

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KW - mode-locked laser

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